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If y = (tan x)^(x), then (dy)/(dx)=...

If `y = (tan x)^(x)`, then `(dy)/(dx)`=

A

`(tan x)^(x) [ x sec^(2) x cot x + log (tan x)]`

B

`(tan x)^(x) [2 sec^(2) x tan x + (tan x)^(x)]`

C

`(tan x)^(x) [sec^(2) x tan x + log (tan x)]`

D

`(tan x )^(x) [x sec^(2) x cot x + (tan x)^(x)]`

Text Solution

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The correct Answer is:
A
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